Question

Examine if each of the following is a perfect square.
(i) 725
(ii) 190
(iii) 841
(iv) 1089

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Answer 1

(i) 725 725 = 5 × 5 × 29 = 52 × 29 Here the second prime factor 29 does not have a pair. Hence 725 is not a perfect square number.

(ii) 190 190 = 2 × 5 × 19 Here the factors 2, 5 and 9 does not have pairs. Hence 190 is not a perfect square numb

er.

(iii) 841 841 = 29 × 29 Hence 841 is a perfect square

(vi) 1089 1089 = 3 × 3 × 11 × 11 = 33 × 3 Hence 1089 is a perfect square

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Answer 2

Answer:

841 is the perfect square of 29

1089 is the perfect square of 33

So third and fourth are perfect squares.

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